Comment on "Reply to Comment on Time-dependent Quasi-Hermitian Hamiltonians and the Unitary Quantum Evolution"

Abstract

I point out that if one defines the operator $U_R(t)$ as done by M. Znojil in his reply [arXiv:0711.0514v1] to my comment [arXiv:0711.0137v1] and also accepts the validity of the defining relation of $U_R(t)$ as given in his paper [arXiv:0710.5653v1], one finds that the time-evolution of the associated quantum system is not governed by the Schrödinger equation for the Hamiltonian operator $H$ but an operator $H^{\prime }$ which differs from $H$ if the metric operator is time-dependent. In the latter case this effective Hamiltonian $H^{\prime }$ is not observable. This is consistent with the conclusions of my paper [Phys. Lett. B 650, 208 (2007), arXiv:0706.1872v2] which allow for unitary time-evolution generated by unobservable Hamiltonians.

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References in corpus (3)

• Time-dependent quasi-Hermitian Hamiltonians and the unitarity of quantum evolution
• Comment on ``Time-dependent quasi-Hermitian Hamiltonians and the unitary quantum evolution''
• Reply to Comment on ``Time-dependent quasi-Hermitian Hamiltonians and the unitary quantum evolution''